Suppose a triangle has two sides of length 42 and 35 and that the angle between these two sides is 120. what is the length of thr third side of the triangle

66.78 units.

Step-by-step explanation:

We have been given that a triangle has two sides of length 42 and 35 and that the angle between these two sides is 120. We are asked to find the length of third side of the triangle.

We will use law of cosines to find third side of triangle as:

Upon substituting our given values, we will get:

Take square root of both sides:

Therefore, the length of third side of our given triangle would be approximately 66.78 units.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

idk

step-by-step explanation:

use that smart brain